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Finding the Third Proportional to 456,437 and 973,937

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Solution

The third proportional to 456,437 and 973,937 is: 2,078,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,437 : 973,937 = 973,937 : x
  2. Step 2: Convert to fraction form
    456,437/973,937 = 973,937/x
  3. Step 3: Cross multiply
    456,437x = 973,937 × 973,937
  4. Step 4: Simplify right side
    456,437x = 948,553,279,969
  5. Step 5: Solve for x
    x = 948,553,279,969/456,437
  6. Step 6: Final answer
    x = 2,078,169.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.